Find the unit tangent vector T and the principal unit normal vector N. r(t) = (ln(cos t) + 3)i   + 6j  + (4 + t )k, -?/2 < t < ?/2

A. T = (sin t)i  - (cos t)k; N = (cos t)i  - (sin t)k;
B. T = (-sin t)i  + (cos t)k; N = (-cos t)i  + (sin t)k
C. T = (sin t)i  + (cos t)k; N = (cos t)i  - (sin t)k
D. T = (-sin t)i  + (cos t)k; N = (-cos t)i  - (sin t)k


Answer: D

Mathematics

You might also like to view...

Use the Fundamental Counting Principle to solve the problem.There are 8 performers who are to present their acts at a variety show. One of them insists on being the first act of the evening. If this request is granted, how many different ways are there to schedule the appearances?

A. 64 B. 40,320 C. 56 D. 5040

Mathematics

Use the discriminant to determine the number and type of solutions for the given equation.25x2 + 10x = 0

A. two imaginary solutions B. two real irrational solutions C. one (repeated) real rational solution D. two real rational solutions

Mathematics

Add or subtract as indicated.(x3y2 + 3x2y3 + 4xy - 3) + (x2y3 + 7x3y2 + 5xy + 1)

A. 8x3y2 + 4x2y3 + 4xy - 2 B. 6x3y2 + 4x2y3 + 9xy - 2 C. 8x3y2 + 4x2y3 + 9xy - 2 D. 2x3y2 + 10x2y3 + 9xy - 2

Mathematics

Find the minimum spanning tree for the of the graph. ?    ? Where ?

A. The sum of the numbers associated with the edges of the minimum spanning tree is 196 B. The sum of the numbers associated with the edges of the minimum spanning tree is 202 C. The sum of the numbers associated with the edges of the minimum spanning tree is 127 D. The sum of the numbers associated with the edges of the minimum spanning tree is 136 E. The sum of the numbers associated with the edges of the minimum spanning tree is 133

Mathematics